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Finding the Fourth Proportional to 253.52, 379.39 and 180.23

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Solution

The fourth proportional to 253.52, 379.39 and 180.23 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 379.39 = 180.23 : x
  2. Step 2: Convert to fraction form
    253.52/379.39 = 180.23/x
  3. Step 3: Cross multiply
    253.52x = 379.39 × 180.23
  4. Step 4: Simplify right side
    253.52x = 68,377.46
  5. Step 5: Solve for x
    x = 68,377.46/253.52
  6. Step 6: Final answer
    x = 269.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.